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Finding the Third Proportional to 142,177,690,432 and 296,123,344,592

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Solution

The third proportional to 142,177,690,432 and 296,123,344,592 is: 616,756,644,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,177,690,432 : 296,123,344,592 = 296,123,344,592 : x
  2. Step 2: Convert to fraction form
    142,177,690,432/296,123,344,592 = 296,123,344,592/x
  3. Step 3: Cross multiply
    142,177,690,432x = 296,123,344,592 × 296,123,344,592
  4. Step 4: Simplify right side
    142,177,690,432x = 87,689,035,212,352,382,828,544
  5. Step 5: Solve for x
    x = 87,689,035,212,352,382,828,544/142,177,690,432
  6. Step 6: Final answer
    x = 616,756,644,069.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.